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The lift on a small sphere in wall-bounded linear shear flows

Published online by Cambridge University Press:  26 April 2006

John B. McLaughlin
John B. McLaughlin
Affiliation:
Department of Chemical Engineering, Clarkson University, Potsdam, NY 13699-5705, USA
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Abstract

This paper presents a closed-form solution for the inertial lift force acting on a small rigid sphere that translates parallel to a flat wall in a linear shear flow. The results provide connections between results derived by other workers for various limiting cases. An analytical form for the lift force is derived in the limit of large separations. Some new results are presented for the disturbance flow created by a small rigid sphere translating through an unbounded linear shear flow.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 246 , January 1993 , pp. 249 - 265
Copyright
© 1993 Cambridge University Press

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